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3 years ago

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Mr Newman bought a ticket to a chili supper and spend a total of $30 he bought a combination of adult tickets for $3 each which

system of equations below would determine the number of child ticket and is he number of adult tickets a he bought

1 answer:

Debora [2.8K]3 years ago

8 0

Answer:

60

Step-by-step explanation:

To make 60 all you need to do is 30*3=60 I believe that it is 60

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Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females that favored war with Iraq was

user100 [1]

Answer:

a) D.)H0: pF = pM versus Ha: pF ≠ pM

b) [ $z=\frac{0.537-0.384}{\sqrt{0.449(1-0.449)(\frac{1}{73}+\frac{1}{54})}}=1.7138$

c) $p_v =2*P(Z>1.7138)=0.0866$

d) B.)The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is greater than 0.01.

e) $(0.537-0.384) - 2.58 \sqrt{\frac{0.537(1-0.537)}{54} +\frac{0.384(1-0.384)}{73}}=-0.0755$

f) $(0.537-0.384) + 2.58 \sqrt{\frac{0.537(1-0.537)}{54} +\frac{0.384(1-0.384)}{73}}=0.3815$

Step-by-step explanation:

1) Data given and notation

$X_{M}=28$ represent the number of men that favored war with Iraq

$X_{W}=29$ represent the number of women that favored war with Iraq

$n_{M}=73$ sample of male selected

$n_{W}=54$ sample of female selected

$p_{M}=\frac{28}{73}=0.384$ represent the proportion of men that favored war with Iraq

$p_{W}=\frac{29}{54}=0.537$ represent the proportion of women that favored war with Iraq

$\alpha=0.01$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Part a

We need to conduct a hypothesis in order to checkif the proportion of females that favored war with Iraq was significantly different from the proportion of males that favored war with Iraq , the system of hypothesis would be:

Null hypothesis: $p_{M} = p_{W}$

Alternative hypothesis: $p_{M} \new p_{W}$

The best option is:

D.)H0: pF = pM versus Ha: pF ≠ pM

Part b

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{W}-p_{M}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}$ (1)

Where $\hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{28+29}{73+54}=0.449$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.537-0.384}{\sqrt{0.449(1-0.449)(\frac{1}{73}+\frac{1}{54})}}=1.7138$

Part c

We have a significance level provided $\alpha=0.01$ , and now we can calculate the p value for this test.

Since is a one two sided test the p value would be:

$p_v =2*P(Z>1.7138)=0.0866$

Part d

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and the best conclusion would be:

B.)The proportion of females that favor the war and the proportion of males that favor the war are not significantly different because the P-value is greater than 0.01.

Part e

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_W -\hat p_M) \pm z_{\alpha/2} \sqrt{\frac{\hat W_A(1-\hat p_W)}{n_W} +\frac{\hat p_M (1-\hat p_M)}{n_M}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$(0.537-0.384) - 2.58 \sqrt{\frac{0.537(1-0.537)}{54} +\frac{0.384(1-0.384)}{73}}=-0.0755$

Part f

$(0.537-0.384) + 2.58 \sqrt{\frac{0.537(1-0.537)}{54} +\frac{0.384(1-0.384)}{73}}=0.3815$

6 0

4 years ago

I need help with this!!

hichkok12 [17]

Answer:

14 burgers

Step-by-step explanation:

3 1/2 ÷ 1/4 = 14

4 0

3 years ago

How do you add a percentage?

gizmo_the_mogwai [7]

Answer:

$150

Step-by-step explanation:

You can do this by forming an equation.

30% = 0.30. Let the original price be x dollars. Then:-

x - 0.30x = 105

0.70x = 105

x = 105/0.70

x = $150

6 0

3 years ago

Brainliesteeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

goldenfox [79]

Step-by-step explanation:

points is enough

so, np if i don't get brain list.

<h2>stay safe healthy and happy.</h2>

6 0

3 years ago

The perimeter of a rectangle is 96 feet. Three times the width is 8 less than the length. Find the dimensions of the rectangle.

Roman55 [17]

Width= w
length= (3w-8)

2w+2(3w-8)= 96
2w + 6w -16= 96
8w= 112
8w/8= 112/8
w= 14

width= 14 feet
length= 34 feet

so the dimensions are 14x34 feet

6 0

3 years ago